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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 25200bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25200.dq1 | 25200bq1 | \([0, 0, 0, -255, 1685]\) | \(-6288640/567\) | \(-165337200\) | \([]\) | \(6144\) | \(0.32015\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25200bq do not have complex multiplication.Modular form 25200.2.a.bq
sage: E.q_eigenform(10)